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Simplifying 9x + 4 = -21 + 2(2 + 3x) Reorder the terms: 4 + 9x = -21 + 2(2 + 3x) 4 + 9x = -21 + (2 * 2 + 3x * 2) 4 + 9x = -21 + (4 + 6x) Combine like terms: -21 + 4 = -17 4 + 9x = -17 + 6x Solving 4 + 9x = -17 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + 9x + -6x = -17 + 6x + -6x Combine like terms: 9x + -6x = 3x 4 + 3x = -17 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + 3x = -17 + 0 4 + 3x = -17 Add '-4' to each side of the equation. 4 + -4 + 3x = -17 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = -17 + -4 3x = -17 + -4 Combine like terms: -17 + -4 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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